Kavli Affiliate: Leon Balents
| First 5 Authors: Takamori Park, Leon Balents, , ,
| Summary:
Inspired by the recent work by Delacretaz et. al., we rigorously derive an
exact and simple method to bosonize a non-interacting fermionic system with a
Fermi surface starting from a microscopic Hamiltonian. In the long-wavelength
limit, we show that the derived bosonized action is exactly equivalent to the
action obtained by Delacretaz et. al. In addition, we propose diagrammatic
rules to evaluate correlation functions using our bosonized theory and
demonstrate these rules by calculating the three- and four-point density
correlation functions. We also consider a general density-density interaction
and show that the simplest approximation in our bosonic theory is identical to
RPA results.
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